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Finding the Fourth Proportional to 15,740.70, 21,722.04 and 9,026.34

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Solution

The fourth proportional to 15,740.70, 21,722.04 and 9,026.34 is: 12,456.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,740.70 : 21,722.04 = 9,026.34 : x
  2. Step 2: Convert to fraction form
    15,740.70/21,722.04 = 9,026.34/x
  3. Step 3: Cross multiply
    15,740.70x = 21,722.04 × 9,026.34
  4. Step 4: Simplify right side
    15,740.70x = 196,070,518.53
  5. Step 5: Solve for x
    x = 196,070,518.53/15,740.70
  6. Step 6: Final answer
    x = 12,456.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.